Combinatorics / CONCEPT
A sharp three-parent source family
An infinite family of actual centered doubling sources has an exactly optimal physical permutation width, ten below its half-modulus capacity.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES2
PROOF DEPTH1
DOCUMENT LINKS0
Every label, every prefix, and the matching lower bound
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- A local physical two-root repairstructural-affinity · Closed
- A universal support width for centered circle sourcesstructural-affinity · Closed
- Arithmetic gates for the attained three-row maskstructural-affinity · Closed
- Attained masks on all physical row labelsstructural-affinity · Closed
- Complete strip ordering from conservation and two large occurrencesstructural-affinity · Closed
- Cyclic carries and zero relations of the physical circle sourcestructural-affinity · Closed
- Deferred-prefix ancestor invariantstructural-affinity · Closed
- Even expanding paths in the original centered sourcestructural-affinity · Closed
- Ordering pairwise compatible steps between two endpointsstructural-affinity · Closed
- Original physical rows of an M5 centered sourcestructural-affinity · Closed
- Three-row cyclic source family at half-modulus capacitystructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
Loading release versions...
Browse the archiveCertified provenance